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Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game.
1515 ways
1500 ways
1512 ways
1550 ways
None of these
Let the husbands be h1, h2, h3…….h9 and wives be w1, w2, w3…….w9 Choosing 2 husband=9C2=36
Choosing 2 wives = 7C2 =21 (Here we should have taken 9C2, but as per the question no husband and wife can play in the same game, so we eliminated 2 wives of chosen husbands)
We know that in mixed double game, it is played as m1w1 vs m2w2.
So, out of 36 men and 21 women two arrangement is possible, either m1w1 vs m2w2 or m2w1 vs m1w2.
Therefore, total ways = 36 × 21 × 2 = 1512 ways
Hence, option (C) is correct.
By: Munesh Kumari ProfileResourcesReport error
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